Answer:
Step-by-step explanation:
The measures of the angles are 2x, 5x, and 5x.
2x+5x+5x = 180°
12x = 180°
x = 15°
2x = 30°
5x = 75°
The ratio of the angles are 30:75:75
The answer is B.
The absolute value is the "positive version" of a number. So, the absolute value does nothing to positive numbers, and switches the sign of negative numbers. Here are some examples:
![|4| = 4,\quad |-3|=3,\quad\left|\dfrac{-3}{2}\right|=\dfrac{3}{2},\ldots](https://tex.z-dn.net/?f=%20%7C4%7C%20%3D%204%2C%5Cquad%20%7C-3%7C%3D3%2C%5Cquad%5Cleft%7C%5Cdfrac%7B-3%7D%7B2%7D%5Cright%7C%3D%5Cdfrac%7B3%7D%7B2%7D%2C%5Cldots%20)
So, as you can see, the result of an absolute value can't be negative, and as such, it can't be less than a negative number.
Answer: C
Step-by-step explanation:
To find the perimeter of a rectangle , you need to use the formula
P = 2l + 2w where P is the perimeter, l is the length, w is the width.
Input the dimensions, for each rectangle and solve for the P
P = 2(3) + 2(9)
P = 6 + 18
P = 24
P = 2(5) + 2(11)
P = 10 + 22
P = 32
The smaller rectangle has a perimeter of 24 and the large rectangle has a perimeter of 32
The ratio will be 32 : 24 which breaks down to 4: 3
18
the calculated percentage of 75 anf 24 is 18
Answer:
c = -6
d = -1
Step-by-step explanation:
In the picture attached, the question is shown.
Shape A is composed of the points:
(3, 2)
(5, 2)
(3, 5)
Reflection across the x-axis transforms point (x, y) into (x, -y). Applying this transformation to shape A:
(3, 2) → (3, -2)
(5, 2) → (5, -2)
(3, 5) → (3, -5)
Translation (c, d) transforms (x, y) into (x+c, y+d). The point (3, -2) in the pre-image (before translation) corresponds to point (-3,-3) in the image (after translation). Therefore:
(3, -2) → (3+c, -2+d) → (-3,-3)
3+c = -3
c = -3 -3 = -6
-2+d = -3
d = -3+2 = -1